Gennadiy Feldman

collaborators

2 papers

math.PR2024

Heyde theorem for locally compact Abelian groups containing no subgroups topologically isomorphic to the 2-dimensional torus

Gennadiy Feldman

We prove the following group analogue of the well-known Heyde theorem on a characterization of the Gaussian distribution on the real line. Let $X$ be a second countable locally com…

math.PR2018

On analogues of C.R.Rao's theorems for locally compact Abelian groups

G. M. Feldman

Let $ξ_{1}$ , $ξ_{2}$ , $ξ_{3}$ be independent random variables with nonvanishing characteristic functions, and $a_{j}$ , $b_{j}$ be real numbers such that $a_{i} / b_{i} \neq = a_{j} / b_{j}$ for $i \neq = j$ . Le…